GCD of 748, 924, 850 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 748, 924, 850 i.e. 2 largest integer that divides all the numbers equally.
GCD of 748, 924, 850 is 2
GCD(748, 924, 850) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 924, 850 is 2
GCD(748, 924, 850) = 2
GCDof 748,924,850 is 2
Given Input numbers are 748, 924, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 748, 924, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 924, 850 is 2.
Therefore, GCD of numbers 748, 924, 850 is 2
Given Input Data is 748, 924, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 850 is 2 x 5 x 5 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 748, 924, 850 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(748, 924) = 15708
GCD(748, 924) = ( 748 x 924 ) / 15708
GCD(748, 924) = 691152 / 15708
GCD(748, 924) = 44
Step2:
Here we consider the GCD from the above i.e. 44 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(44, 850) = 18700
GCD(44, 850) = ( 44 x 850 ) / 18700
GCD(44, 850) = 37400 / 18700
GCD(44, 850) = 2
GCD of 748, 924, 850 is 2
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FAQs on GCD of numbers 748, 924, 850
1. What is the GCD of 748, 924, 850?
GCD of 748, 924, 850 is 2
2. Where do I get the detailed procedure to find GCD of 748, 924, 850?
You can find a detailed procedure to find GCD of 748, 924, 850 on our page.
3. How to find GCD of 748, 924, 850 on a calculator?
You can find the GCD of 748, 924, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.